Students can plan their studies for board exam preparation with the official CBSE Class 12 Applied Maths syllabus (2026-27).
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...
OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...
A real-time system decoded who was listening and boosted the speaker’s voice, offering proof of concept for smarter hearing technologies that respond to attention rather than just sound. Study: ...
Hyundai used the Big Apple to make one of its biggest new product splashes in recent years. At the 2026 New York auto show, the Korean automaker, which is celebrating 40 years in America, took the ...
On Wednesday, Adam Silver walked to the podium and said this about tanking: "We are going to fix it. Full stop." Full stop! That's not the self-proclaimed “incrementalist” talking. That's the ...
One idle evening last October, Mehtaab Sawhney took up an old pastime. He began perusing the website erdosproblems.com, an updated record of the 1,179 conjectures left behind by the eccentric and ...
Liam Gaughan is a film and TV writer at Collider. He has been writing film reviews and news coverage for ten years. Between relentlessly adding new titles to his watchlist and attending as many ...
A winterized take on an icon, this Air Jordan 11 “Concord” concept pairs Jordan Brand heritage with The North Face’s cold-weather expertise to solve the AJ11’s biggest problem. On this episode of ...
Over the weekend, Neel Somani, who is a software engineer, former quant researcher, and a startup founder, was testing the math skills of OpenAI’s new model when he made an unexpected discovery. After ...
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Optimization problem in calculus explained simply
We walk through an optimization problem step by step, clearly explaining how to identify variables, set up the correct function, apply derivatives, and find maximum or minimum values. Each step is ...
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